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Abstract
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In the context of the coloured stochastic vertex model in a quadrant,
we identify a family of observables whose averages are given by explicit
contour integrals. The observables are certain linear combinations of
-moments
of the coloured height functions of the model. In a polymer limit, this yields integral
representations for moments of partition functions of strict-weak, semidiscrete
Brownian, and continuum Brownian polymers with varying beginning and ending
points of the polymers.
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Keywords
observables, stochastic vertex models, polymer models
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Mathematical Subject Classification 2010
Primary: 60K35
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Milestones
Received: 22 March 2020
Revised: 6 September 2020
Accepted: 21 September 2020
Published: 16 November 2020
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